The Great Stellated Dodecahedron
A non-convex polyhedron bounded by twelve intersecting pentagrams; three meeting at each vertex.
The great stellated dodecahedron is one of the four Kepler-Poinsot Star Polyhedra, and is also the third and final stellation of the dodecahedron.
| Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |
| (5/2)3 | 3 | 2 5/2 | 20 | 30 | 12 | A5×C2 | Great Icosahedron |
|
Edge Inter-Radius |
= |
3 +  5
|
Edge Circum-Radius |
= |
1 + 53
|
|
Edge In-Radius |
= |
(50 + 225)
|
Edge Dodecahedral Edge |
= |
11 + 55 2 |